Question # 1

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

If -1 < x < 0, which of the following statements must be true?

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

3x + 4 > 0 is

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equation

identity

inequality

none of these

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

x = _________ is in the solution of 2x + 3 < 0

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0

2

-1

-2

Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0

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(1,4)

(4,2)

(3,1)

(4,1)

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Mathematics ECAT Pre Engineering Chapter 21 Linear Inequalities and Linear Programming Online Test MCQs With Answers

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